Balachandran, A. P. ; Einarsson, T. ; Govindarajan, T. R. ; Ramachandran, R. (1991) Statistics and spin on two-dimensional surfaces Modern Physics Letters A, 6 (30). pp. 2801-2810. ISSN 0217-7323
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Official URL: http://www.worldscinet.com/mpla/06/0630/S021773239...
Related URL: http://dx.doi.org/10.1142/S0217732391003262
Abstract
The fundamental groups of the configuration spaces for the O(3) nonlinear σ-model on the compact genus g surfaces T2g and on the connected sums R2#T2g are known for any soliton number N. So are the braid for N spinless particles on these manifolds. The representations of these groups govern the possible statistics of solitons and particles. We show that when spin and creation/annihilation processes are introduced, the fundamental groups for the particles are the same as the corresponding σ-model groups. These fundamental groups incorporate the spin-statistics connection and are of greater physical relevance than the standard braid groups.
Item Type: | Article |
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Source: | Copyright of this article belongs to World Scientific Publishing Company. |
ID Code: | 66370 |
Deposited On: | 24 Oct 2011 08:44 |
Last Modified: | 24 Oct 2011 08:44 |
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